Rick Santorum doesn't have much support for his presidential bid among Pennsylvania Republicans, but they'd support him over anyone else to run for the U.S. Senate again, according to a new survey by left-leaning Public Policy Polling.

Voters were asked: Given the choices of Jake Corman, Laureen Cummings, Charlie Dent, Jim Gerlach, Tim Murphy, Rick Santorum, Marc Scaringi, and Kim Ward, who would you most like to see asthe Republican candidate for Senate next year?

The majority of those polled had no opinion of the other candidates, showing that the only Republican with statewide name recognition is Santorum. But that doesn't help him get past third in state GOP voters choice for their nominee for president.

Michele Bachmann received 24 percent, Mitt Romney 17 percent and Rick Santorum 14 percent. With Santorum out of the race, Bachmann's support increases to 27 percent and Romney's to 20 percent.

“Pennsylvania Republicans are sending a pretty clear message to Rick Santorum: we don’t think you’re Presidential material,” said Dean Debnam, President of Public Policy Polling. “But they’d support him for a rematch against Bob Casey.”